Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the variable.

Front

If a/b = c/d, what is the cross-multiplication method?

Back

The cross-multiplication method states that a*d = b*c.

Front

What is the first step in solving the proportion 3/x = 6/12?

Back

The first step is to cross-multiply: 3 * 12 = 6 * x.

Front

Solve for x: 4/x = 8/16

Back

x = 2.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

If 5/10 = x/20, how do you find x?

Back

Cross-multiply to get 5 * 20 = 10 * x, then solve for x: x = 10.

Front

What is the value of x in the proportion 2/x = 4/8?

Back

x = 4.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you find a unit rate from a proportion?

Back

Divide the numerator by the denominator to find the rate per one unit.